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3 years ago

There are 35 competitors in a marathon. Sixty percent of these finished the race in under four hrs. How many did not?

Mathematics

1 answer:

Nikitich [7]3 years ago

7 0

Answer:

14 did not finish under 4 hours.

Step-by-step explanation:

Givens

Total number of competitors = 35

% who finish under 4 hours = 60%

Formula

Those who did not = 35 - 60%*35

Solution

Those who did finish under 4 hours = 35 * 60%

Those who did finish under 4 hours = 35*60/100 = 2100/100

Those who did finish under 4 hours = 21

Those who did not = 35 - 35*60/100

Those who did not = 35 - 21

Those who did not = 14

====================

There is another way to do this. Realize that 40% did not finish the race in under 4 hours.

Those who did not finish in under 4 hours = 35*40/100 = 1400 / 100 = 14

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rafeal counted a total of 40 white cars and yellow cars. there were 9 times as many white cars as yellow cars. how many white ca

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3 years ago

Read 2 more answers

The high for a winter day in Sitka,

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Answer:

The maximum temperature will be -10°C, then if T represents the temperature, we can write this as:

T ≤ -10°C

And the minimum temperature will be -25°C, then we must have that:

T ≥ -25°C

if we use both conditions, we will have:

-25°C ≤ T ≤ -10°C

We can write this range:

[-25°C, -10°C]

Where the [] symbols mean that the extremes are possible temperatures.

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3 years ago

Solve the simultaneous equation y-2x+1=0 and 4x^2+3y^2-2xy=7

Lapatulllka [165]

The first equation is $y-2x+1=0$

$y=2x-1$ (Equation 1)

The second equation is $4x^{2}+3y^{2}-2xy=7$ (Equation 2)

Putting the value of x from equation 1 in equation 2.

we get,

$4x^{2}+3(2x-1)^{2}-2x(2x-1)=7$

$4x^{2}+3(4x^{2}+1-4x)-4x^{2}+2x=7$

by simplifying the given equation,

$12x^{2}-10x-4=0$

$6x^{2}-5x-2=0$

Using discriminant formula,

$D=b^{2}-4ac$

$D=25-4 \times 6 \times -2 = 73$

Now the formula for solution 'x' of quadratic equation is given by:

$x=\frac{-b+\sqrt{D}}{2a} and x=\frac{-b-\sqrt{D}}{2a}$

$x=\frac{5+\sqrt{73}}{12} and x=\frac{5-\sqrt{73}}{12}$

Hence, these are the required solutions.

8 0

3 years ago